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Finding the Fourth Proportional to 314,332.35, 433,838.43 and 178,378.96

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Solution

The fourth proportional to 314,332.35, 433,838.43 and 178,378.96 is: 246,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,332.35 : 433,838.43 = 178,378.96 : x
  2. Step 2: Convert to fraction form
    314,332.35/433,838.43 = 178,378.96/x
  3. Step 3: Cross multiply
    314,332.35x = 433,838.43 × 178,378.96
  4. Step 4: Simplify right side
    314,332.35x = 77,387,647,680.28
  5. Step 5: Solve for x
    x = 77,387,647,680.28/314,332.35
  6. Step 6: Final answer
    x = 246,196.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.